Question

A shop advertises 20% off its prices in a sale.

A hat is £36 in the sale.
How much was it before the price reduction?

Answer 1

£43.2

Explanation:

before discount the price was

120%×36

=£43.2

Answer 2

£45

Explanation:

Say the original price is x. When we take 20% off, that's basically multiplying x by 20% and then subtracting that product from the original price, which is x:

x - 20% * x = 80% * x = 0.8x

Now, this equals £36, so we just set them equal:

0.8x = 36

Dividing by 0.8 from both sides, we get:

x = £45

Thus, the answer is £45.